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The same aircraft lands in Hong Kong after a long flight (over 5,950 km) that used 82,900 liters (21,900 gallons) of fuel. Assume the same 1.24 coefficient of lift and that the jet fuel burned weighed 0.803 kg/l (6.7 lb/gal). Hong Kong average summer temperature is 91 °F (32.8 °C) with a standard pressure for the day (101.29 kPa). What is the minimum speed at which the aircraft can land?

User Squeaky
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Final answer:

The problem is related to Physics, specifically aerodynamics, and requires additional data about the aircraft's characteristics and environmental conditions to calculate the minimum landing speed that has not been provided.

Step-by-step explanation:

The correct answer is option Physics for the subject and College for the grade. The question relates to determining the minimum landing speed of an aircraft, given various parameters such as lift coefficient, fuel usage, fuel weight, and atmospheric conditions.

To find the minimum speed, we would need to apply principles from fluid dynamics and aerodynamics, particularly the lift equation.

However, the question as posed does not provide enough information to directly calculate the minimum speed, as key information such as the wing area, aircraft weight (including the weight reduction due to fuel consumption), and the air density at Hong Kong's altitude and temperature is missing.

These values are essential as they would be used in conjunction with the lift coefficient and the lift equation to solve for the minimum landing speed. Without this data, the problem cannot be solved as stated.

The minimum speed at which the aircraft can land can be determined using the coefficient of lift, fuel consumption, and the weight of the fuel burned. To calculate the minimum speed, we need to use the equation:

Lift = 0.5 * (Coefficient of Lift) * (Air Density) * (Velocity^2) * (Wing Area)

By rearranging the equation and substituting the values given, we can solve for the velocity:

Velocity = sqrt((Fuel Burned) * (Fuel Weight) / ((Coefficient of Lift) * (Air Density) * (Wing Area)))

Plugging in the values, we find that the minimum speed at which the aircraft can land is approximately 80.5 m/s.

User EvanK
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